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26343840 = 253571773
BaseRepresentation
bin110010001111…
…1100110100000
31211120101221210
41210133212200
523221000330
62340350120
7436630125
oct144374640
954511853
1026343840
1113963576
1289a5340
1355c4a93
1436da74c
1524a58b0
hex191f9a0

26343840 has 96 divisors (see below), whose sum is σ = 84260736. Its totient is φ = 6917120.

The previous prime is 26343833. The next prime is 26343841. The reversal of 26343840 is 4834362.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 26343798 and 26343807.

It is not an unprimeable number, because it can be changed into a prime (26343841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33694 + ... + 34466.

It is an arithmetic number, because the mean of its divisors is an integer number (877716).

Almost surely, 226343840 is an apocalyptic number.

26343840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26343840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42130368).

26343840 is an abundant number, since it is smaller than the sum of its proper divisors (57916896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26343840 is a wasteful number, since it uses less digits than its factorization.

26343840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 26343840 is about 5132.6250593629. The cubic root of 26343840 is about 297.5498209997.

The spelling of 26343840 in words is "twenty-six million, three hundred forty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 71 80 96 120 142 160 213 240 284 355 426 480 568 710 773 852 1065 1136 1420 1546 1704 2130 2272 2319 2840 3092 3408 3865 4260 4638 5680 6184 6816 7730 8520 9276 11360 11595 12368 15460 17040 18552 23190 24736 30920 34080 37104 46380 54883 61840 74208 92760 109766 123680 164649 185520 219532 274415 329298 371040 439064 548830 658596 823245 878128 1097660 1317192 1646490 1756256 2195320 2634384 3292980 4390640 5268768 6585960 8781280 13171920 26343840